Cryptology ePrint Archive: Report 2004/043

Multi-sequences with d-perfect property

Xiutao Feng, Quanlong Wang and Zongduo Dai

Abstract: Sequences with almost perfect linear complexity profile are defined by H.~Niederreiter[4]. C.P. Xing and K.Y. Lam[5, 6] extended this concept from the case of single sequences to the case of multi-sequences and furthermore proposed the concept of d-perfect. In this paper, based on the technique of m-continued fractions due to Dai et al, we investigate the property of d-perfect multi-sequences and obtain the sufficient and necessary condition on d-perfect property. We show that multi-sequences with d-perfect property are not always
strongly d-perfect. In particular, we give one example to disprove the conjecture on d-perfect property of multi-sequences proposed by C.P. Xing in [6].